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timama [110]
3 years ago
14

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota

l mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be K = 9×107 kg, and k = 0.75 per year. (a) If y(0) = 2×107 kg, find the biomass a year later. (Round your answer to two decimal places.) ×107 kg (b) How long will it take for the biomass to reach 4×107? (Round your answer to two decimal places.) years

Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

398.411

Step-by-step explanation:

Explanation has been given in the following attachments.

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3 years ago
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Please help !!!!!!!!!
Kaylis [27]

Answer:

9) JK = 24.5

10) LM = 24.5

11) m∡L = 51°

12) m∡M = 129°

Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

5z - 6 + 2z - 3 = 180

7z - 9 = 180

7z = 189

z = 27

therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

7x = 3x + 14

subtract 3x from each side to get:

4x = 14

x = 14/4 = 3.5

to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5

to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5

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